← Entropy Atlas

Reproducible randomness

Monte Carlo estimation

Many sampled scenarios approximate quantities that are difficult to calculate directly.

Evaluation card

What “plenty” means here.

Required property
A generator with suitable statistical quality, a recorded seed, and enough independent-looking samples for the estimator.
If it fails
Correlation, short periods, or sampling mistakes create biased estimates and false confidence.
Relevant attacker
Usually no adversary; the risks are numerical error, model error, and irreproducible analysis.
The Plenty Line
Run convergence checks, independent streams, and sensitivity analyses; record generator, version, and seed.
Why more is not automatically better
More entropy does not remove Monte Carlo error; more well-designed samples often matter more.

Where it appears

Recognize the pattern.

  • 01risk models
  • 02physics integration
  • 03uncertainty propagation

The Plentropy rule

Protect the requirement, then stop.

Run convergence checks, independent streams, and sensitivity analyses; record generator, version, and seed.
Once that claim has comfortable evidence and margin, improve the next limiting factor instead of worshipping a larger entropy number.